Penalty function approach to recurrent neural network dynamics

E. Milotti · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1997

The Hopfield dynamics for recurrent neural networks minimizes a certain quadratic form on the unit hypercube. I show here how the dynamical system can be derived from a standard method of optimization theory. I use the method to give a precise meaning to nonsymmetric interactions, and I discuss the possibility of introducing other types of dynamics.

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